Stožnice Flashcards

1
Q

Krožnica

A

x^2 + y^2 = r^2
- B = 0
- A = C
- če pride -r^2 je prazna množica
- koncentrični križnice isto središče

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2
Q

Elipsa

A
  1. a > B
    - x^2/a^2 + y^2/b^2 = 1
    - T(a,0) T(-a,0) T(0,b) T(0,-b)
    - e^2 = a^2 - b^2
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3
Q

Parabola

A
  • y^2 = 2px
  • G(p/2,0)
  • vodnica X = -p/2, črtkana
  • od vodnice do gorišča p
  • od gorišča za p gor in dol
  • x^2 = 2py
  • G(0,p/2)
  • vodnica y = -p/2
  • premaknjena lega: T(t,q)
  • (y - q)^2 = 2p(X -t)
  • G(p/2 + a, q)
  • X = - p/2 + a
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4
Q

Hiperbola

A
  • x^2/a^2 - y^2/b^2 = 1
  • e^2 = a^2 + b^2
  • asimptota y = +_ b/a *x
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